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Finding the Third Proportional to 840,460 and 1,943,686

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Solution

The third proportional to 840,460 and 1,943,686 is: 4,495,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,460 : 1,943,686 = 1,943,686 : x
  2. Step 2: Convert to fraction form
    840,460/1,943,686 = 1,943,686/x
  3. Step 3: Cross multiply
    840,460x = 1,943,686 × 1,943,686
  4. Step 4: Simplify right side
    840,460x = 3,777,915,266,596
  5. Step 5: Solve for x
    x = 3,777,915,266,596/840,460
  6. Step 6: Final answer
    x = 4,495,056.60

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.